Simplify algebraic expression (involves algebraic fraction)

Question

Simplify the algebraic expression {3(a-b)/9} + {4b/9}

Answer

STEP 1:    The numerator of the first fraction contains an expression with parentheses. This suggests that the first step in simplifying the expression is to remove the parentheses in 3(a – b).

See how the parentheses get cleared when each term inside the parentheses is multiplied by the factor outside.STEP 2:    Note that the denominators of the fractions are the same. In such a case, you can simply add the numerators keeping the denominator.STEP 3: An algebraic expression is considered simplified only when it has no more like terms in it. But, the numerator has two like terms –3b and 4b. Adding these terms will complete the simplification process.
The final simplified form of the expression that you get is: